| RT类算子与右本质谱的连通分支 |
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| 引用本文： | 苏维钢. RT类算子与右本质谱的连通分支[J]. 数学杂志, 2006, 26(6): 689-694 |
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| 作者姓名： | 苏维钢 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建福州,350007 |
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| 基金项目： | 国家自然科学基金资助项目(10471025)，福建省教育厅基金资助项目(JA04170). |
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| 摘 要： | 本文研究两个拟相似算子的右本质谱之间的相交关系.通过引进RT类算子的概念,利用算子谱的精密结构的分析方法,得到一个算子的右本质谱的连通分支与另一个拟相似算子的右本质谱相交的充分和必要条件.
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| 关 键 词： | 有界线性算子 拟相似 本质谱 连通分支 |
| 文章编号： | 0255-7797（2006）06-0689-06 |
| 收稿时间： | 2004-04-16 |
| 修稿时间： | 2004-04-162005-04-08 |
RT-CLASS OPERATORS AND COMPONENTS OF THE RIGHT ESSENTIAL SPECTRUM |
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| SU Wei-gang. RT-CLASS OPERATORS AND COMPONENTS OF THE RIGHT ESSENTIAL SPECTRUM[J]. Journal of Mathematics, 2006, 26(6): 689-694 |
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| Authors: | SU Wei-gang |
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| Affiliation: | School of Math. and Computer Science,Fujian Normal University, Fuzhou 350007 ,China |
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| Abstract: | This paper studies the intersection relations of the right essential spectrum of two quasisimilar operators.By introducing the concept of the R_ T-class operators, applying the elaborate structure of the spectrum of operators, we obtain a sufficient and necessary condition under which each component of the right essential spectrum of an operator intersects the right essential spectrum of the other quasisimilar operator. |
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| Keywords: | bounded linear operator quasisimilarity essential spectrum component |
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